Question 1

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response
-In scientific notation, what is the smallest positive integer which can be multiplied by a power of 10?

Accepted Answer

The answer of Write the word or phrase that best...

Question 2

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response
-Why is scientific notation used?

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response
-Does scientific notation allow a negative number to be multiplied by a power of 10?

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Choose the one alternative that best completes the statement or answers the question.
-Is it true that 8 ×  is written in scientific notation?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 5

Choose the one alternative that best completes the statement or answers the question.
-Is it true that in order to multiply a number by a positive power of ten, you must move the decimal point to the left as many places as indicated by the exponent on the ten?

Accepted Answer

To multiply a number by a positive power of ten, you must move the decimal point to the right as many places as indicated by the exponent on the ten.

Question 6

Choose the one alternative that best completes the statement or answers the question.
-Is it true that in order to multiply a number by a negative power of ten, you must move the decimal point to the left as many places as indicated by the absolute value of the exponent on the ten?

Accepted Answer

When multiplying by a negative power of ten, the decimal point moves to the left because the negative exponent indicates division by a power of ten.

Question 7

Determine the number of terms and name the coefficients of the terms.
--6 h

Accepted Answer

The expression "-6 h" consists of a single term, so there is only one term. The coefficient of this term is -6, as it is the numerical factor multiplying the variable h.

Question 8

Determine the number of terms and name the coefficients of the terms. --4 s + 3 s²

Accepted Answer

The expression has two terms: -4s and $3s^{12}$. The coefficients are -4 and 3, respectively.

Question 9

Determine the number of terms and name the coefficients of the terms.
-9 s - 5 b

Accepted Answer

The expression has 2 terms (9s and -5b), with coefficients 9 and -5, respectively.

Question 10

Determine the number of terms and name the coefficients of the terms.
-6 h - 3 m

Accepted Answer

The expression has 2 terms: 6h and -3m. The coefficients are 6 and -3, respectively.

Question 11

Determine the number of terms and name the coefficients of the terms.
--4 z + 8 x - c

Accepted Answer

The expression has three terms: -4z, 8x, and -c. The coefficients are -4 for z, 8 for x, and -1 for c (since c implicitly has a coefficient of 1, but it's negative here).

Question 12

Determine the number of terms and name the coefficients of the terms.
--9 x - 8 n - b

Accepted Answer

The expression has 3 terms: -9x, -8n, and -b. The coefficients are -9 for x, -8 for n, and the coefficient of -b is implicitly -1.

Question 13

Determine the number of terms and name the coefficients of the terms.
-

Accepted Answer

The answer of Determine the number of terms and name...

Question 14

Determine the number of terms and name the coefficients of the terms.
-5  - 2  - y

Accepted Answer

The answer of Determine the number of terms and name...

Question 15

Add like terms, if possible, and write the result in descending powers of the variable. --6m⁵ + 2m⁵

Accepted Answer

The terms -6m and 2m are like terms and can be added together, resulting in -4m. The rest of the notation seems to be a formatting error or placeholder, but based on the context, it's clear that the operation involves combining like terms of m, leading to -4m.

Question 16

Add like terms, if possible, and write the result in descending powers of the variable. --5y⁴ - 3y³

Accepted Answer

The terms -5y^14 and -3y^13 cannot be combined because they have different powers of y.

Question 17

Add like terms, if possible, and write the result in descending powers of the variable. --5z³ + 2z⁴

Accepted Answer

The terms -5z^13 and 2z^14 cannot be combined because they have different powers of z. Thus, the expression remains as is but written in descending powers of z.

Question 18

Add like terms, if possible, and write the result in descending powers of the variable. -2x⁴ + 9x⁴ - 6x⁴

Accepted Answer

The expression simplifies to 5x^14 by adding the coefficients of like terms (2 + 9 - 6 = 5).

Question 19

Add like terms, if possible, and write the result in descending powers of the variable. -4x⁶⁺⁸x² + 9x⁶

Accepted Answer

The expression simplifies to 13x^16 + 8x^12 by combining like terms (4x^16 + 9x^16 = 13x^16).

Question 20

Add like terms, if possible, and write the result in descending powers of the variable. -6m⁷ - 4m⁷ - 2m⁷ + 3m⁷

Accepted Answer

The expression simplifies by combining like terms, resulting in $3m^{17}$.

Quiz 6: Factoring and Applications

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -In scientific notation, what is the smallest positive integer which can be multiplied by a power of 10?

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -Why is scientific notation used?

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -Does scientific notation allow a negative number to be multiplied by a power of 10?

Choose the one alternative that best completes the statement or answers the question. -Is it true that 8 × is written in scientific notation?

Choose the one alternative that best completes the statement or answers the question. -Is it true that in order to multiply a number by a positive power of ten, you must move the decimal point to the left as many places as indicated by the exponent on the ten?

Choose the one alternative that best completes the statement or answers the question. -Is it true that in order to multiply a number by a negative power of ten, you must move the decimal point to the left as many places as indicated by the absolute value of the exponent on the ten?

Determine the number of terms and name the coefficients of the terms. --6 h

Determine the number of terms and name the coefficients of the terms. --4 s + 3 s2

Determine the number of terms and name the coefficients of the terms. -9 s - 5 b

Determine the number of terms and name the coefficients of the terms. -6 h - 3 m

Determine the number of terms and name the coefficients of the terms. --4 z + 8 x - c

Determine the number of terms and name the coefficients of the terms. --9 x - 8 n - b

Determine the number of terms and name the coefficients of the terms. -

Determine the number of terms and name the coefficients of the terms. -5 - 2 - y

Add like terms, if possible, and write the result in descending powers of the variable. --6m5 + 2m5

Add like terms, if possible, and write the result in descending powers of the variable. --5y4 - 3y3

Add like terms, if possible, and write the result in descending powers of the variable. --5z3 + 2z4

Add like terms, if possible, and write the result in descending powers of the variable. -2x4 + 9x4 - 6x4

Add like terms, if possible, and write the result in descending powers of the variable. -4x6 + 8x2 + 9x6

Add like terms, if possible, and write the result in descending powers of the variable. -6m7 - 4m7 - 2m7 + 3m7

Determine the number of terms and name the coefficients of the terms. --4 s + 3 s²

Add like terms, if possible, and write the result in descending powers of the variable. --6m⁵ + 2m⁵

Add like terms, if possible, and write the result in descending powers of the variable. --5y⁴ - 3y³

Add like terms, if possible, and write the result in descending powers of the variable. --5z³ + 2z⁴

Add like terms, if possible, and write the result in descending powers of the variable. -2x⁴ + 9x⁴ - 6x⁴

Add like terms, if possible, and write the result in descending powers of the variable. -4x⁶⁺⁸x² + 9x⁶

Add like terms, if possible, and write the result in descending powers of the variable. -6m⁷ - 4m⁷ - 2m⁷ + 3m⁷